Linear Analysis of Genetic Algorithms

Original article can be found at: http://www.sciencedirect.com/science/journal/03043975 Copyright Elsevier B.V. DOI: 10.1016/S0304-3975(98)00004-8 [Full text of this article is not available in the UHRA]

[1]  Michael D. Vose,et al.  Formalizing Genetic Algorithms , 1991 .

[2]  David E. Goldberg,et al.  A Note on Boltzmann Tournament Selection for Genetic Algorithms and Population-Oriented Simulated Annealing , 1990, Complex Syst..

[3]  Gerard T. Barkema,et al.  Monte Carlo Methods in Statistical Physics , 1999 .

[4]  Joe Suzuki,et al.  A Further Result on the Markov Chain Model of Genetic Algorithms and Its Application to a Simulated Annealing-like Strategy , 1998, FOGA.

[5]  José Carlos Príncipe,et al.  A Simulated Annealing Like Convergence Theory for the Simple Genetic Algorithm , 1991, ICGA.

[6]  Andrew Mcgilvary Gillies,et al.  Machine Learning Procedures for Generating Image Domain Feature Detectors , 1985 .

[7]  Michael D. Vose,et al.  Modeling Simple Genetic Algorithms , 1992, FOGA.

[8]  G. Pedersen.  C-Algebras and Their Automorphism Groups , 1979 .

[9]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[10]  W. Greub.  Linear Algebra , 1981 .

[11]  Dan Boneh,et al.  On genetic algorithms , 1995, COLT '95.

[12]  James E. Baker,et al.  Reducing Bias and Inefficienry in the Selection Algorithm , 1987, ICGA.

[13]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[14]  B. Gidas.  Nonstationary Markov chains and convergence of the annealing algorithm , 1985 .

[15]  Gunar E. Liepins,et al.  Punctuated Equilibria in Genetic Search , 1991, Complex Syst..

[16]  D. Mitra,et al.  Convergence and finite-time behavior of simulated annealing , 1986, Advances in Applied Probability.

[17]  Morgan B Kaufmann,et al.  Finite Markov Chain Analysis of Genetic Algorithms with Niching , 1993 .

[18]  Ehl Emile Aarts,et al.  Simulated annealing : an introduction , 1989 .

[19]  Günter Rudolph,et al.  Convergence analysis of canonical genetic algorithms , 1994, IEEE Trans. Neural Networks.

[20]  L. Shen,et al.  Linear Algebra , 1968 .

[21]  David E. Goldberg,et al.  Finite Markov Chain Analysis of Genetic Algorithms , 1987, ICGA.

[22]  Jeffrey Horn,et al.  Finite Markov Chain Analysis of Genetic Algorithms with Niching , 1993, ICGA.

[23]  J. Roughgarden,et al.  Theory of Population Genetics and Evolutionary Ecology , 1979 .

[24]  Valerie Isham,et al.  Non‐Negative Matrices and Markov Chains , 1983 .

[25]  Dorothea Heiss-Czedik,et al.  An Introduction to Genetic Algorithms. , 1997, Artificial Life.

[26]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[27]  J. Wright.  C*‐ALGEBRAS AND THEIR AUTOMORPHISM GROUPS (London Mathematical Society Monograph, 14) , 1980 .

[28]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[29]  H. H. Schaefer.  Banach Lattices and Positive Operators , 1975 .

[30]  S. Lang.  Complex Analysis , 1977 .

[31]  Dean Isaacson,et al.  Markov Chains: Theory and Applications , 1976 .

[32]  Albert Donally Bethke,et al.  Genetic Algorithms as Function Optimizers , 1980 .

[33]  Samir W. Mahfoud.  Finite Markov Chain Models of an Alternative Selection Strategy for the Genetic Algorithm , 1993, Complex Syst..